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Finding the Fourth Proportional to 278,107, 417,173.46 and 81,115

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Solution

The fourth proportional to 278,107, 417,173.46 and 81,115 is: 121,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,107 : 417,173.46 = 81,115 : x
  2. Step 2: Convert to fraction form
    278,107/417,173.46 = 81,115/x
  3. Step 3: Cross multiply
    278,107x = 417,173.46 × 81,115
  4. Step 4: Simplify right side
    278,107x = 33,839,025,207.90
  5. Step 5: Solve for x
    x = 33,839,025,207.90/278,107
  6. Step 6: Final answer
    x = 121,676.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.